code BA123 credit_hours 3 title Mathematics 1 arbic title - prequisites None credit hours 3 description Definition of a derivatives, properties of derivatives, differentiation of algebraic, trigonometric, inverse trigonometric, exponential, logarithmic, hyperbolic functions, parametric and implicit differentiation. Applications: nth derivatives, L'Hopital's rule, curve sketching. Physical applications: velocity and acceleration. Conic sections: circle, Ellipse and parabola. arabic description -" objectives The course teaches basic transcendental functions and their properties. It develops students’ skills in the techniques of differentiation, and enables them to grasp its intuitive meaning. It also provides them with essential knowledge and skills in analytic geometry. arabic objectives ref. books Grossman S., Calculus, Harcourt Brace College Publishers, 1992. arabic ref. books textbook Robert T. Smith and Roland B. Minton, Calculus: Early Transcendental Functions, Mc GRAW. Hill, latest edition. arabic textbook objective set combined content set combined
Course Content
content serial describtion
1 Week Number 1: Basic techniques and rules of differentiation.
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2 Week Number 2: Trigonometric function: properties, basic identities and their derivatives.
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3 Week Number 3: Inverse of trigonometric and their derivatives.
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4 Week Number 4: Logarithmic functions: their properties, basic identities and derivatives.
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5 Week Number 5: Exponential functions: their properties, basic identities and derivatives.
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6 Week Number 6: Derivative of hyperbolic functions and their inverse.
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7 Week Number 7: Parametric differentiation and implicit differentiation.
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8 Week Number 8: The Nth derivative.
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9 Week Number 9: L’ Hopital rule.
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10 Week Number 10: Partial differentiation.
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11 Week Number 11: Maclaurin’s expansion.
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12 Week Number 12: Physical application.
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13 Week Number 13: Curve sketching.
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14 Week Number 14: Conic sections.
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15 Week Number 15: General revision.
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16 Week Number 16: Final Exam.
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